New and old results in resultant theory

Author:

Morozov A. Yu.,Shakirov Sh. R.

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference20 articles.

1. V. Dolotin and A. Morozov, Introduction to Non-Linear Algebra, World Scientific, Hackensack, N. J. (2007); arXiv:hep-th/0609022v4 (2006).

2. E. Bézout, Théorie générale des equations algébriques, De l’Imprimerie de Ph.-D. Pierres, Paris (1779); J. J. Sylvester, Philos. Magazine, 16, 132–135 (1840); “A method of determining by mere inspection the derivatives from two equations of any degree,” in: The Collected Mathematical Papers of James Joseph Sylvester, Vol. 1, Cambridge Univ. Press, Cambridge (1904), pp. 54–57; A. Cayley, Cambridge and Dublin Math. J., 3, 116–120 (1848); F. S. Macaulay, Proc. London Math. Soc., 35, 3–27 (1903); A. L. Dixon, Proc. London Math. Soc., 6, 468–478 (1908).

3. I. Gel’fand, M. Kapranov, and A. Zelevinsky, Discriminants, Resultants, and Multidimensional Determinants, Birkhäuser, Boston (1994); I. M. Gel’fand, A. V. Zelevinskij, and M. M. Kapranov, Leningrad Math. J., 2, 499–505 (1991).

4. A. Yu. Morozov, Sov. Phys. Usp., 35, 671–714 (1992).

5. A. Morozov and Sh. Shakirov, JHEP, 0912, 002 (2009); arXiv:0903.2595v1 [math-ph] (2009).

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